We apply the Small Tip-Angle Approximation in the Toggling Frame in order to analytically design robust pulses against resonance offsets for state to state transfer in two-level quantum systems. We show that a broadband or a local robustness up to an arbitrary order can be achieved. We provide different control parameterizations to satisfy experimental constraints and limitations on the amplitude or energy of the pulse. A comparison with numerical optimal solutions is made.
@article{arxiv.2108.05190,
title = {Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control},
author = {L. Van Damme and D. Sugny and S. J. Glaser},
journal= {arXiv preprint arXiv:2108.05190},
year = {2021}
}